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Lostsunrise [7]
3 years ago
5

Ns. Moore drove 200 miles in February. She drove 8 times as many miles in March as she did in January. How many mailed did Ms. M

oore drive in March
Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

25

Step-by-step explanation:

200 divided by 8

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Prove that: <br> (2-sin(2x))(sin(x) + cos(x)) = 2(sin^3(x) + cos^3(x))
Ber [7]
   
\text{We use formulas: }\\  \\ &#10;1) ~~  (a + b)(a^2 -ab + b^2)   =a^3  + b^3 \\  \\ &#10;2)~~ \sin(2x) = 2\sin x \cos x  \\ \\ &#10; 3)~~ 1 =\sin^2(x) + cos^2(x) \\  \\ &#10;\text{We solve:} \\  \\ &#10;\Big(2-\sin(2x)\Big)\Big(\sin(x) + \cos(x)\Big) = 2\Big(\sin^3(x) + cos^3(x)\Big) \\  \\ &#10;\Big(2-2\sin(x)\cos(x)\Big)\Big(\sin(x) + \cos(x)\Big) = 2\Big(\sin^3(x) + cos^3(x)\Big) \\  \\ &#10;2\Big(1-\sin(x)\cos(x)\Big)\Big(\sin(x) + \cos(x)\Big) = 2\Big(\sin^3(x) + cos^3(x)\Big)


2\Big(\sin^2(x)+\cos^2(x)-\sin(x)\cos(x)\Big)\Big(\sin(x) + \cos(x)\Big) = \\  2\Big(\sin^3(x) + cos^3(x)\Big)  \\  \\ &#10;2\Big(\sin^2(x)-\sin(x)\cos(x)+\cos^2(x)\Big)\Big(\sin(x) + \cos(x)\Big) = \\  2\Big(\sin^3(x) + cos^3(x)\Big)  \\  \\ &#10;\boxed{2\Big(\sin^3(x) + cos^3(x)\Big)  = 2\Big(\sin^3(x) + cos^3(x)\Big)  }



5 0
4 years ago
HELP ME PLZ HELP ME PLZ HELP ME PLZ
nikdorinn [45]

Answer:

20 Miles hope it helps!

Step-by-step explanation:

8 0
3 years ago
Grant decided to buy some cookies from tiff
Alja [10]

Answer:

3+.50d=

Step-by-step explanation:

3 represents $3.00

.50 represents $0.50 for each mile

d represents the total cost

6 0
3 years ago
Plz help it is a probability question it is soo hard - I have tried and tried
zalisa [80]
I think there's an easy way and a hard way to do this, and I think that the way
I'm about to describe is the easier way.

Probability = (number of successful outcomes)/(total number of possible outcomes)

<em>How many total pairs can be drawn from 8 total pens ?</em>
-- The first one drawn can be any one of 8 pens. For each of these . . .
-- The second one drawn can be any one of the remaining 7 .
-- Total number of ways of drawing a pair = (8 x 7) = 56 ways.
-- But there aren't 56 different different pairs. Whether you draw A and then B,
or B and then A, you wind up with the same pair.  There are 2 different ways to
draw each pair, so the 56 ways of drawing a pair only produces <u>28</u> different pairs.

<u>How many pairs are two of the same color ?</u>

<em>Possible number of blue pairs:</em>
The reasoning is exactly the same as calculating the TOTAL number of
pairs, as explained above.
With 5 blue pens, you can make <u>10</u> different pairs.
AB, AC, AD, AE, BC, BD, BE, CD, CE, and DE.

<em>Possible number of red pairs:</em>
The reasoning is exactly the same as calculating the TOTAL number of
pairs, as explained above.
With 3 red pens, you can make <u>3</u> different pairs.
AB, AC, and BC.

Total number of possible same-color pairs = 10 + 3 = 13

successes / total possible outcomes = 13/28 = <u>46.4</u>%  (rounded)
3 0
3 years ago
Which of the following expressions represents the product of a number and eight"?
Andrej [43]
8x because everything else is addition or subtractionZ
6 0
3 years ago
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